1083015685972 has 48 divisors (see below), whose sum is σ = 2071736573760. Its totient is φ = 491289696000.

The previous prime is 1083015685919. The next prime is 1083015685979. The reversal of 1083015685972 is 2795865103801.

It is a super-2 number, since 2×1083015685972² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083015685979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105479983 + ... + 105490249.

It is an arithmetic number, because the mean of its divisors is an integer number (43161178620).

Almost surely, 2^{1083015685972} is an apocalyptic number.

It is an amenable number.

1083015685972 is a deficient number, since it is larger than the sum of its proper divisors (988720887788).

1083015685972 is a wasteful number, since it uses less digits than its factorization.

1083015685972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14872 (or 14870 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

It can be divided in two parts, 10830156 and 85972, that added together give a triangular number (10916128 = T₄₆₇₂).

The spelling of 1083015685972 in words is "one trillion, eighty-three billion, fifteen million, six hundred eighty-five thousand, nine hundred seventy-two".